binomial theorem(redirected from Binomial expansions)
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The theorem that specifies the expansion of any power (a + b)m of a binomial (a + b) as a certain sum of products aibj, such as (a + b)2 = a2 + 2ab + b2.
(Mathematics) a mathematical theorem that gives the expansion of any binomial raised to a positive integral power, n. It contains n + 1 terms: (x + a)n = xn + nxn–1a + [n(n–1)/2] xn–2a2 +…+ (nk) xn–kak + … + an, where (nk) = n!/(n–k)!k!, the number of combinations of k items selected from n
the theorem giving the expansion of a binomial raised to any power.
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|Noun||1.||binomial theorem - a theorem giving the expansion of a binomial raised to a given power|
statistics - a branch of applied mathematics concerned with the collection and interpretation of quantitative data and the use of probability theory to estimate population parameters
probability theory, theory of probability - the branch of applied mathematics that deals with probabilities
theorem - a proposition deducible from basic postulates